Consider a pair o

For simple harmonic motion,

where x = displacement

w= angular velocity

A = amplitude

δ = phase

Given:

for both the pendulum the amplitude is given to same and ∵ they are identical, their length are the same and thus their angular velocity are also same as for the pendulum , g=acceleration due to gravity and length of the pendulum is given as L.

∴ pendulum 1 we can write,

At

∴

-----(1)

pendulum 1 we can write,

At

∴

-----(2)

For phase difference we subtract (2) from (1), we get,

∴ the phase difference between the two pendulum is of